GCF of 1640/298, 3355/1655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1640/298, 3355/1655 i.e 5/493190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1640/298, 3355/1655.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1640/298,3355/1655?
Given fractions are 1640/298,3355/1655
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1640/298,3355/1655, numerators are 1640,3355
Denominators are 298,1655
The GCF of 1640,3355 is 5 .
LCM of 298,1655 is 493190.
The greatest common factor of 1640/298,3355/1655 = [GCF of 1640,3355]/[LCM of 298,1655]= 5/493190
Therefore, the GCF of 1640/298,3355/1655 is 5/493190.
To find the highest common factor of 1640,3355, we have to find the factors of both numbers and list the highest common factor.
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The factors of 3355 are 1, 5, 11, 55, 61, 305, 671, 3355
The HCF of 1640,3355 is 5.
Lets's calculate GCF of 1640,3355
| 5 | 1640, 3355 |
| 328, 671 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1640,3355 By Matching Biggest Common Factor Method
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Now, list down the factors of 3355
:1,5,11,55,61,305,671,3355
Greatest Common Factor
We found the factors 1640,3355 . The biggest common factor number is the GCF number.
So the greatest common factor 1640,3355 is 5.
Lets's calculate LCM of 298,1655
Given numbers has no common factors except 1. So, there LCM is their product i.e 493190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/493190
Therefore, the GCF of Fractions 1640/298,3355/1655 is 5/493190
Least Common Multiple of 298,1655 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 298,1655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,1655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,1655) x common factors =1 x 1 = 1
LCM(298,1655) = ( 298 × 1655 ) / 1
LCM(298,1655) = 493190 / 1
LCM(298,1655) = 493190
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FAQs on GCF of Fractions of 1640/298, 3355/1655
1. What is the HCF of 1640,3355?
The HCF of 1640,3355 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1640/298, 3355/1655?
Answer: GCF of Numerators as per given numbers 1640/298, 3355/1655 is
GCF of Numerators i.e. for 1640,3355 is 5
LCM of denominators i.e. for 298,1655 is 493190.
Thus, GCF of Fractions is 5/493190.Finally, GCF of Fractions for 1640/298, 3355/1655 is 5/493190.